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1.       Distinguish among these different parts of a wave: amplitude, crest, trough, and wavelength.


2.       Distinguish between the period and the frequency of a vibration or a wave. How do they relate to one another?


3.       Does the medium in which a wave travels move along with the wave itself? Defend your answer.


4.       How does the speed of a wave relate to its frequency and wavelength?


5.       As the frequency of sound is increased, does the wavelength increase or decrease? Give an example.


6.       Distinguish between a transverse wave and a longitudinal wave.


7.       How far, in terms of wavelength, does a wave travel in one period?


8.       What is the period of a pendulum?


9.       What is the period of a pendulum that takes one second to make a complete back-and-forth vibration?


10.   Suppose that a pendulum has a period of 1.5 seconds. How long does it take to make a complete back-and-forth vibration? Is this 1.5-second period pendulum longer or shorter in length than a pendulum with a period of 1.0 s?


11.   A nurse counts 76 heartbeats in one minute. What are the period and frequency of the heart?


12.   New York's 300.0 m high Citicorp tower oscillates in the wind with a period of 6.80 s. Calculate the frequency?


13.   Calculate the speed of waves in a puddle that are 0. 15 m apart and made by tapping the water surface twice each second.


14.   Calculate the speed of waves in water that are 0.4 m apart and have a frequency of 2 Hz.


15.   If you triple the frequency of a vibrating object, what will happen to its period?


16.   While watching ocean waves at the dock of the bay, Otis notices that 10 waves pass beneath him in 30 seconds. He also notices that the crests of successive waves exactly coincide with the posts of the dock that are 5 meters apart. What are the period, frequency, wavelength, and speed of the ocean waves?


17.   If a wave vibrates back-and-forth three times each second, and its wavelength is 2 meters, what is its frequency? Its period? Its speed?


18.   Red light has a longer wavelength than violet light. Which has the greater frequency?


19.   If a wave vibrates up and down twice each second and travels a distance of 20.0 m each second, what is its frequency? Its wave speed?


20.   The lowest frequency we can hear is 20.0 Hz. Calculate the wavelength (in feet) associated with this frequency for sound that travels at 340.0 m/s.


21.   When a wave source moves toward a receiver, does the receiver encounter an increase in wave frequency, wave speed, or both?


22.   Does the Doppler effect occur for only some types of waves or all types of waves?


23.   Astronomers find that light coming from point A at the edge of the sun has a slightly higher frequency than light from point B at the opposite edge. What do these measurements tell us about the sun's motion?


24.   Would it be correct to say that the Doppler effect is the apparent change in the speed of a wave due to motion of the source?


25.   Distinguish between constructive interference and destructive interference.


26.   Is interference a property of only some types of waves or of all types of waves?


27.   How can you observe interference in sound waves?


28.   What is a sonic boom? How fast must an aircraft fly in order to produce a sonic boom?


29.   Whenever you watch a high-flying aircraft overhead, it seems that its sound comes from behind the craft rather than from where you see it. Why is this?


30.   Radio waves are electromagnetic waves that travel at the speed of light, 300,000.0 kilometers per second. What is the wavelength of FM radio waves received at 100.0 MHz on your radio dial?


31.   A sound wave produced by a clock chime 515 m away is heard 1.5 s later.

a.       What is the speed of the sound wave?

b.       The sound wave has a frequency of 436 Hz. What is its period?

c.       What is its wavelength?


32.   A hiker shouts toward a vertical cliff 685 m away. The echo is heard 4.0 s later.

a.       What is the speed of the sound wave?

b.       The wavelength of the sound is 0.75 m. What is its frequency?

c.       What is the period of the wave?


33.   A sound wave with frequency of 262 Hz has a wavelength of 1.29 meters. What is the speed of the sound wave?


34.   The Sears Building in Chicago sways back and forth with a frequency of about 0.1 Hz. What is its period?


35.   An ocean wave has a length of 10.0 m. A wave passes a fixed location every 2.0 seconds. What is the speed of the wave?


36.   Water waves in a shallow dish are 6.0 cm long. At one point, the water oscillates up and down at a rate of 4.8 oscillations per second.

a.       What is the speed of the water waves?

b.       What is the period of the water waves?


37.   Water waves in a lake travel 4.4 m in 1.8 s. The period of oscillation is 1.2 seconds.

a.       What is the speed of the water waves?

b.       What is their wavelength?


38.   The frequency of yellow light is 5.0 x 1014 Hz. Find its wavelength.


39.   AM radio signals are broadcast at frequencies between 550 kHz and 1600 kHz. What is the range of wavelengths for these electromagnetic waves?

In the following chart the columns indicate the light which is made available. The rows indicate the color of paper when viewed in the available color. The reason the paper has a color is that it reflects that color of light and absorbs all others. Notice that the first column is when white (all colors) light is available. Complete the remaining columns using your knowledge of the colors of light and pigment. You are not required to use color algebra, however, it works so try it.



White light

Red light

Green light

Blue light

Magenta light

Cyan light

Yellow light


Red paper








Green paper








Blue paper








Magenta paper








Cyan paper








Yellow paper








White paper








This chart should be completed based on your mirror ray diagrams.


Object location

Image Size

Image Orientation

Image Type

Image Location


Beyond C/2f






@ C/2f






C/2f f






@ f






f apex/lens






Convex mirror and concave lens